aSuppose someone whose temperature is originally 37 degrees

a)Suppose someone, whose temperature is originally 37 degrees C, is murdered in a room that has constant temperature 25 degrees C. The temperature is measured at 28 degrees C when the body is found and at 27 degrees C one hour later. How long ago was the murder committed from discovery of the body?

b)Suppose we are performing a simulation using a step size of 0.004 hr. Using the decay rate from Part a, determine the temperature at the end of the first three time steps after discovering of the body.

Modeling & Simulation/ Computational Science

Solution

1. Take t=0 at initial time (As time is not metioned in the question)

T= T_i - Kt

So, T_i = 28

Now, T=T_i - Kt. (After one hour)

27= 28- K(1)

K=1

So, 37= 28 - 1(t)

So, t = - 9 So, the murder took place 9 hours back.